On the orthogonal bases of symmetry classes

M. Shahryari

doi:10.1006/jabr.1999.7932

On the orthogonal bases of symmetry classes

M. Shahryari^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Let V be an n-dimensional complex inner product space and let {e₁,...,e_n} be an orthonormal basis of V. Suppose G is a permutation group of degree m and χ is an irreducible character of G. We denote by V_χ(G) the symmetry class of tensors associated with G and χ. In this article, we discuss the problem of existing orthogonal bases for V_χ(G) consisting of symmetrized decomposable tensors e*_α.

Original language	English
Pages (from-to)	327-332
Number of pages	6
Journal	Journal of Algebra
Volume	220
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1999.7932
Publication status	Published - Oct 1 1999
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.1999.7932

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abstract = "Let V be an n-dimensional complex inner product space and let {e1,...,en} be an orthonormal basis of V. Suppose G is a permutation group of degree m and χ is an irreducible character of G. We denote by Vχ(G) the symmetry class of tensors associated with G and χ. In this article, we discuss the problem of existing orthogonal bases for Vχ(G) consisting of symmetrized decomposable tensors e*α.",

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On the orthogonal bases of symmetry classes

Abstract

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